A company has 2 jobs, jobs A and job B. In order for the company to be profitable it must process 100 jobs a week. Job A can process a minimum of 15 per week, and job B can process a minimum of 25 per week. Job makes a profit of $50.00 per job, and Job B makes a profit of $40 per job. In order to maximize profits for the company, how much of each job needs to be sold? Given the linear program Max 50A + 40B s.t. A + B <=100 A >= 15 B>= 25 What is the optimal solution for A? What is the optimal solution for B What is the total profit?
A company has 2 jobs, jobs A and job B. In order for the company to be profitable it must process 100 jobs a week. Job A can process a minimum of 15 per week, and job B can process a minimum of 25 per week. Job makes a profit of $50.00 per job, and Job B makes a profit of $40 per job. In order to maximize profits for the company, how much of each job needs to be sold? Given the linear program Max 50A + 40B s.t. A + B <=100 A >= 15 B>= 25 What is the optimal solution for A? What is the optimal solution for B What is the total profit?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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A company has 2 jobs, jobs A and job B. In order for the company to be profitable it must process 100 jobs a week. Job A can process a minimum of 15 per week, and job B can process a minimum of 25 per week. Job makes a profit of $50.00 per job, and Job B makes a profit of $40 per job. In order to maximize profits for the company, how much of each job needs to be sold?
Given the linear program
Max 50A + 40B
s.t.
A + B <=100
A >= 15
B>= 25
What is the optimal solution for A?
What is the optimal solution for B
What is the total profit?
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